Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730j |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.445578501508E+24 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111913709,-451979239035] |
[a1,a2,a3,a4,a6] |
Generators |
[-401868276868278773:-3792412433944762291:66543366535667] |
Generators of the group modulo torsion |
j |
87501897507774086005761/815991377947460000 |
j-invariant |
L |
3.4788109567733 |
L(r)(E,1)/r! |
Ω |
0.046443311477549 |
Real period |
R |
18.726113869244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125840cc3 78650cc3 1430h3 |
Quadratic twists by: -4 5 -11 |